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saw5 [17]
3 years ago
10

How do I simplify 6y-y

Mathematics
2 answers:
aniked [119]3 years ago
8 0
Think of 6y as

y + y + y + y + y + y

Now subtract a y from that.

y + y + y + y + y + y - y = y + y + y + y + y = 5y
Mama L [17]3 years ago
6 0
You have to take the Y out of the equation by factoring. y(6-1)
You might be interested in
Sick-leave time used by employees of a firm in a course of one month has approximately normal distribution, with a mean of 200 h
Usimov [2.4K]

Answer:

a)0.62% probability that total sick leave for next month will be less than 150 hours.

b) 225.6 hours should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 200, \sigma = \sqrt{400} = 20

a.Find the probability that total sick leave for next month will be less than 150 hours.

This probability is the pvalue of Z when X = 150. So:

Z = \frac{X - \mu}{\sigma}

Z = \frac{150 - 200}{20}

Z = -2.5

Z = -2.5 has a pvalue of 0.0062.

So there is a 0.62% probability that total sick leave for next month will be less than 150 hours.

b.In planning schedules for next month, how much time should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

This is the value of X when Z has a pvalue of 0.90. So Z = 1.28

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 200}{20}

X - 200 = 20*1.28

X = 225.6

225.6 hours should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

6 0
3 years ago
Please please help me with this problem
Sergio [31]
A.  x < -3 \vee x \ge 2

B.  x < 6 \vee x > 14

C.  -4 \le x \le 3


6 0
3 years ago
2
8090 [49]
They each get 14 cents,
A quarter = 25c
A nickel = 5c
A dime = 10c
2 pennies = 2c

25 + 5 + 10 + 2 = 42c

42 divided by 3 is 14 cents
So Willie, Donald and Maya get 14 cents each
5 0
2 years ago
If we assume that 2010 is t=0 what is the initial value and what does it mean?
timurjin [86]

The initial value is 309.35

It means that in the year 2010 (starting year) the population was 309,350,000 people or written another way "309.35 million". The second way is more short so probably the more preferred method.

To find the value 309.35, simply look at the table under the value t = 0.

4 0
3 years ago
Read 2 more answers
Find the difference between the lengths of the longest and shortest sides of a rectangle if its area is 924 square milimetres an
BigorU [14]

Length =l

Height = h

Area function = l * h = 924

Perimeter function = 2i + 2h = 122

Divide by 2

I + h = 61.

Plug in I or h for the other variable

I * (61 - I) = 924

61i - i^2 = 924

Factor the function

(-I + 28)(I - 33) = 0

l = 33 as l cannot be negative

61 - 33 = 28

h = 28

Difference between h and l is 33-28=5

6 0
2 years ago
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